Apparent magnitude

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Asteroid 65 Cybele and two stars in the constellation Aquarius, with their magnitudes labeled 65Cyb-LB3-apmag.jpg
Asteroid 65 Cybele and two stars in the constellation Aquarius, with their magnitudes labeled

Apparent magnitude (m) is a measure of the brightness of a star, astronomical object or other celestial objects like artificial satellites. Its value depends on its intrinsic luminosity, its distance, and any extinction of the object's light caused by interstellar dust along the line of sight to the observer.

Contents

Unless stated otherwise, the word magnitude in astronomy usually refers to a celestial object's apparent magnitude. The magnitude scale likely dates to before the ancient Roman astronomer Claudius Ptolemy, whose star catalog popularized the system by listing stars from 1st magnitude (brightest) to 6th magnitude (dimmest). [1] The modern scale was mathematically defined to closely match this historical system by Norman Pogson in 1856.

The scale is reverse logarithmic: the brighter an object is, the lower its magnitude number. A difference of 1.0 in magnitude corresponds to the brightness ratio of , or about 2.512. For example, a magnitude 2.0 star is 2.512 times as bright as a magnitude 3.0 star, 6.31 times as magnitude 4.0, and 100 times magnitude 7.0.

The brightest astronomical objects have negative apparent magnitudes: for example, Venus at −4.2 or Sirius at −1.46. The faintest stars visible with the naked eye on the darkest night have apparent magnitudes of about +6.5, though this varies depending on a person's eyesight and with altitude and atmospheric conditions. [2] The apparent magnitudes of known objects range from the Sun at −26.832 to objects in deep Hubble Space Telescope images of magnitude +31.5. [3]

The measurement of apparent magnitude is called photometry. Photometric measurements are made in the ultraviolet, visible, or infrared wavelength bands using standard passband filters belonging to photometric systems such as the UBV system or the Strömgren uvbyβ system. Measurement in the V-band may be referred to as the apparent visual magnitude.

Absolute magnitude is a related quantity which measures the luminosity that a celestial object emits, rather than its apparent brightness when observed, and is expressed on the same reverse logarithmic scale. Absolute magnitude is defined as the apparent magnitude that a star or object would have if it were observed from a distance of 10 parsecs (33 light-years; 3.1×1014 kilometres; 1.9×1014 miles). Therefore, it is of greater use in stellar astrophysics since it refers to a property of a star regardless of how close it is to Earth. But in observational astronomy and popular stargazing, references to "magnitude" are understood to mean apparent magnitude.

Amateur astronomers commonly express the darkness of the sky in terms of limiting magnitude, i.e. the apparent magnitude of the faintest star they can see with the naked eye. This can be useful as a way of monitoring the spread of light pollution.

Apparent magnitude is technically a measure of illuminance, which can also be measured in photometric units such as lux. [4]

History

Visible to
typical
human
eye [5]
Apparent
magnitude
Bright-
ness
relative
to Vega
Number of stars
(other than the Sun)
brighter than
apparent magnitude [6]
in the night sky
Yes−1.0251%1 (Sirius)
0.0100%4

(Vega, Canopus, Alpha Centauri, Arcturus)

1.040%15
2.016%48
3.06.3%171
4.02.5%513
5.01.0%1602
6.00.4%4800
6.50.25%9100 [7]
No7.00.16%14000
8.00.063%42000
9.00.025%121000
10.00.010%340000

The scale used to indicate magnitude originates in the Hellenistic practice of dividing stars visible to the naked eye into six magnitudes. The brightest stars in the night sky were said to be of first magnitude (m = 1), whereas the faintest were of sixth magnitude (m = 6), which is the limit of human visual perception (without the aid of a telescope). Each grade of magnitude was considered twice the brightness of the following grade (a logarithmic scale), although that ratio was subjective as no photodetectors existed. This rather crude scale for the brightness of stars was popularized by Ptolemy in his Almagest and is generally believed to have originated with Hipparchus. This cannot be proved or disproved because Hipparchus's original star catalogue is lost. The only preserved text by Hipparchus himself (a commentary to Aratus) clearly documents that he did not have a system to describe brightness with numbers: He always uses terms like "big" or "small", "bright" or "faint" or even descriptions such as "visible at full moon". [8]

In 1856, Norman Robert Pogson formalized the system by defining a first magnitude star as a star that is 100 times as bright as a sixth-magnitude star, thereby establishing the logarithmic scale still in use today. This implies that a star of magnitude m is about 2.512 times as bright as a star of magnitude m + 1. This figure, the fifth root of 100, became known as Pogson's Ratio. [9] The 1884 Harvard Photometry and 1886 Potsdamer Duchmusterung star catalogs popularized Pogson's ratio, and eventually it became a de facto standard in modern astronomy to describe differences in brightness. [10]

Defining and calibrating what magnitude 0.0 means is difficult, and different types of measurements which detect different kinds of light (possibly by using filters) have different zero points. Pogson's original 1856 paper defined magnitude 6.0 to be the faintest star the unaided eye can see, [11] but the true limit for faintest possible visible star varies depending on the atmosphere and how high a star is in the sky. The Harvard Photometry used an average of 100 stars close to Polaris to define magnitude 5.0. [12] Later, the Johnson UVB photometric system defined multiple types of photometric measurements with different filters, where magnitude 0.0 for each filter is defined to be the average of six stars with the same spectral type as Vega. This was done so the color index of these stars would be 0. [13] Although this system is often called "Vega normalized", Vega is slightly dimmer than the six-star average used to define magnitude 0.0, meaning Vega's magnitude is normalized to 0.03 by definition.

Limiting Magnitudes for Visual Observation at High Magnification [14]
Telescope
aperture
(mm)
Limiting
Magnitude
3511.3
6012.3
10213.3
15214.1
20314.7
30515.4
40615.7
50816.4

With the modern magnitude systems, brightness is described using Pogson's ratio. In practice, magnitude numbers rarely go above 30 before stars become too faint to detect. While Vega is close to magnitude 0, there are four brighter stars in the night sky at visible wavelengths (and more at infrared wavelengths) as well as the bright planets Venus, Mars, and Jupiter, and since brighter means smaller magnitude, these must be described by negative magnitudes. For example, Sirius, the brightest star of the celestial sphere, has a magnitude of −1.4 in the visible. Negative magnitudes for other very bright astronomical objects can be found in the table below.

Astronomers have developed other photometric zero point systems as alternatives to Vega normalized systems. The most widely used is the AB magnitude system, [15] in which photometric zero points are based on a hypothetical reference spectrum having constant flux per unit frequency interval, rather than using a stellar spectrum or blackbody curve as the reference. The AB magnitude zero point is defined such that an object's AB and Vega-based magnitudes will be approximately equal in the V filter band. However, the AB magnitude system is defined assuming an idealized detector measuring only one wavelength of light, while real detectors accept energy from a range of wavelengths.

Measurement

Precision measurement of magnitude (photometry) requires calibration of the photographic or (usually) electronic detection apparatus. This generally involves contemporaneous observation, under identical conditions, of standard stars whose magnitude using that spectral filter is accurately known. Moreover, as the amount of light actually received by a telescope is reduced due to transmission through the Earth's atmosphere, the airmasses of the target and calibration stars must be taken into account. Typically one would observe a few different stars of known magnitude which are sufficiently similar. Calibrator stars close in the sky to the target are favoured (to avoid large differences in the atmospheric paths). If those stars have somewhat different zenith angles (altitudes) then a correction factor as a function of airmass can be derived and applied to the airmass at the target's position. Such calibration obtains the brightness as would be observed from above the atmosphere, where apparent magnitude is defined.[ citation needed ]

The apparent magnitude scale in astronomy reflects the received power of stars and not their amplitude. Newcomers should consider using the relative brightness measure in astrophotography to adjust exposure times between stars. Apparent magnitude also integrates over the entire object, regardless of its focus, and this needs to be taken into account when scaling exposure times for objects with significant apparent size, like the Sun, Moon and planets. For example, directly scaling the exposure time from the Moon to the Sun works because they are approximately the same size in the sky. However, scaling the exposure from the Moon to Saturn would result in an overexposure if the image of Saturn takes up a smaller area on your sensor than the Moon did (at the same magnification, or more generally, f/#).

Calculations

Image of 30 Doradus taken by ESO's VISTA. This nebula has a visual magnitude of 8. VISTA Magellanic Cloud Survey view of the Tarantula Nebula.jpg
Image of 30 Doradus taken by ESO's VISTA. This nebula has a visual magnitude of 8.
Graph of relative brightness versus magnitude Apparent magnitude.svg
Graph of relative brightness versus magnitude

The dimmer an object appears, the higher the numerical value given to its magnitude, with a difference of 5 magnitudes corresponding to a brightness factor of exactly 100. Therefore, the magnitude m, in the spectral band x, would be given by which is more commonly expressed in terms of common (base-10) logarithms as where Fx is the observed irradiance using spectral filter x, and Fx,0 is the reference flux (zero-point) for that photometric filter. Since an increase of 5 magnitudes corresponds to a decrease in brightness by a factor of exactly 100, each magnitude increase implies a decrease in brightness by the factor (Pogson's ratio). Inverting the above formula, a magnitude difference m1m2 = Δm implies a brightness factor of

Example: Sun and Moon

What is the ratio in brightness between the Sun and the full Moon?

The apparent magnitude of the Sun is −26.832 [16] (brighter), and the mean magnitude of the full moon is −12.74 [17] (dimmer).

Difference in magnitude:

Brightness factor:

The Sun appears to be approximately 400000 times as bright as the full Moon.

Magnitude addition

Sometimes one might wish to add brightness. For example, photometry on closely separated double stars may only be able to produce a measurement of their combined light output. To find the combined magnitude of that double star knowing only the magnitudes of the individual components, this can be done by adding the brightness (in linear units) corresponding to each magnitude. [18]

Solving for yields where mf is the resulting magnitude after adding the brightnesses referred to by m1 and m2.

Apparent bolometric magnitude

While magnitude generally refers to a measurement in a particular filter band corresponding to some range of wavelengths, the apparent or absolute bolometric magnitude (mbol) is a measure of an object's apparent or absolute brightness integrated over all wavelengths of the electromagnetic spectrum (also known as the object's irradiance or power, respectively). The zero point of the apparent bolometric magnitude scale is based on the definition that an apparent bolometric magnitude of 0 mag is equivalent to a received irradiance of 2.518×10−8 watts per square metre (W·m−2). [16]

Absolute magnitude

While apparent magnitude is a measure of the brightness of an object as seen by a particular observer, absolute magnitude is a measure of the intrinsic brightness of an object. Flux decreases with distance according to an inverse-square law, so the apparent magnitude of a star depends on both its absolute brightness and its distance (and any extinction). For example, a star at one distance will have the same apparent magnitude as a star four times as bright at twice that distance. In contrast, the intrinsic brightness of an astronomical object, does not depend on the distance of the observer or any extinction.[ citation needed ]

The absolute magnitude M, of a star or astronomical object is defined as the apparent magnitude it would have as seen from a distance of 10 parsecs (33  ly ). The absolute magnitude of the Sun is 4.83 in the V band (visual), 4.68 in the Gaia satellite's G band (green) and 5.48 in the B band (blue). [19] [20] [21]

In the case of a planet or asteroid, the absolute magnitude H rather means the apparent magnitude it would have if it were 1 astronomical unit (150,000,000 km) from both the observer and the Sun, and fully illuminated at maximum opposition (a configuration that is only theoretically achievable, with the observer situated on the surface of the Sun). [22]

Standard reference values

Standard apparent magnitudes and fluxes for typical bands [23]
Bandλ
(μm)
Δλ/λ
(FWHM)
Flux at m = 0, Fx,0
Jy 10−20 erg/(s·cm2·Hz)
U0.360.1518101.81
B0.440.2242604.26
V0.550.1636403.64
R0.640.2330803.08
I0.790.1925502.55
J1.260.1616001.60
H1.600.2310801.08
K2.220.236700.67
L3.50
g0.520.1437303.73
r0.670.1444904.49
i0.790.1647604.76
z0.910.1348104.81

The magnitude scale is a reverse logarithmic scale. A common misconception is that the logarithmic nature of the scale is because the human eye itself has a logarithmic response. In Pogson's time this was thought to be true (see Weber–Fechner law), but it is now believed that the response is a power law (see Stevens' power law). [24]

Magnitude is complicated by the fact that light is not monochromatic. The sensitivity of a light detector varies according to the wavelength of the light, and the way it varies depends on the type of light detector. For this reason, it is necessary to specify how the magnitude is measured for the value to be meaningful. For this purpose the UBV system is widely used, in which the magnitude is measured in three different wavelength bands: U (centred at about 350 nm, in the near ultraviolet), B (about 435 nm, in the blue region) and V (about 555 nm, in the middle of the human visual range in daylight). The V band was chosen for spectral purposes and gives magnitudes closely corresponding to those seen by the human eye. When an apparent magnitude is discussed without further qualification, the V magnitude is generally understood. [25]

Because cooler stars, such as red giants and red dwarfs, emit little energy in the blue and UV regions of the spectrum, their power is often under-represented by the UBV scale. Indeed, some L and T class stars have an estimated magnitude of well over 100, because they emit extremely little visible light, but are strongest in infrared. [26]

Measures of magnitude need cautious treatment and it is extremely important to measure like with like. On early 20th century and older orthochromatic (blue-sensitive) photographic film, the relative brightnesses of the blue supergiant Rigel and the red supergiant Betelgeuse irregular variable star (at maximum) are reversed compared to what human eyes perceive, because this archaic film is more sensitive to blue light than it is to red light. Magnitudes obtained from this method are known as photographic magnitudes, and are now considered obsolete. [27]

For objects within the Milky Way with a given absolute magnitude, 5 is added to the apparent magnitude for every tenfold increase in the distance to the object. For objects at very great distances (far beyond the Milky Way), this relationship must be adjusted for redshifts and for non-Euclidean distance measures due to general relativity. [28] [29]

For planets and other Solar System bodies, the apparent magnitude is derived from its phase curve and the distances to the Sun and observer. [30]

List of apparent magnitudes

Some of the listed magnitudes are approximate. Telescope sensitivity depends on observing time, optical bandpass, and interfering light from scattering and airglow.

Apparent visual magnitudes of celestial objects
Apparent
magnitude
(V)
ObjectSeen from...Notes
−67.57 gamma-ray burst GRB 080319B seen from 1  AU awaywould be over 2×1016 (20 quadrillion) times as bright as the Sun when seen from the Earth
−43.27star NGC 2403 V14 seen from 1 AU away
−41.82star NGC 2363-V1 seen from 1 AU away
−41.39star Cygnus OB2-12 seen from 1 AU away
−40.67star M33-013406.63 seen from 1 AU away
−40.17star η Carinae Aseen from 1 AU away
−40.07star Zeta1 Scorpii seen from 1 AU away
−39.66star R136a1 seen from 1 AU away
−39.47star P Cygni seen from 1 AU away
−38.00star Rigel seen from 1 AU awaywould be seen as a large, very bright bluish disk of 35° apparent diameter
−37.42star Betelgeuse seen from 1 AU away
−30.30star Sirius Aseen from 1 AU away
−29.30star Sun seen from Mercury at perihelion
−27.40star Sunseen from Venus at perihelion
−26.832star Sunseen from Earth [16] about 400,000 times as bright as mean full Moon
−25.60star Sunseen from Mars at aphelion
−25.00Minimum brightness that causes the typical eye slight pain to look at
−23.00star Sunseen from Jupiter at aphelion
−21.70star Sunseen from Saturn at aphelion
−21.00star Sunseen from Earth on an overcast middaymeasuring about 1000 lux
−20.20star Sunseen from Uranus at aphelion
−19.30star Sunseen from Neptune
−19.00star Sunseen from Earth on a very strongly overcast middaymeasuring about 100 lux
−18.20star Sunseen from Pluto at aphelion
−17.70planet Earthseen fully illuminated as earthlight from the Moon [31]
−16.70star Sunseen from Eris at aphelion
−16.00star Sunas twilight on Earthmeasuring about 10 lux [32]
−14.20An illumination level of 1 lux [33] [34]
−12.60 full moon seen from Earth at perihelionmaximum brightness of perigee + perihelion + full Moon (~0.267 lux; mean distance value is −12.74, [17] though values are about 0.18 magnitude brighter when including the opposition effect)
−12.40 Betelgeuse (when supernova)seen from Earth when it goes supernova [35]
−11.20star Sunseen from Sedna at aphelion
−10.00Comet Ikeya–Seki (1965)seen from Earthwhich was the brightest Kreutz Sungrazer of modern times [36]
−9.50 Iridium (satellite) flare seen from Earthmaximum brightness
−9 to −10 Phobos (moon) seen from Marsmaximum brightness
−7.50 supernova of 1006 seen from Earththe brightest stellar event in recorded history (7200 light-years away) [37]
−6.80 Alpha Centauri A seen from Proxima Centauri b [38]
−6.00The total integrated magnitude of the night sky (incl. airglow)seen from Earthmeasuring about 0.002 lux
−6.00 Crab Supernova of 1054 seen from Earth(6500 light-years away) [39]
−5.90 International Space Station seen from Earthwhen the ISS is at its perigee and fully lit by the Sun [40]
−4.92planet Venusseen from Earthmaximum brightness [41] when illuminated as a crescent
−4.14planet Venusseen from Earthmean brightness [41]
−4Faintest objects observable during the day with naked eye when Sun is high. An astronomical object casts human-visible shadows when its apparent magnitude is equal to or lower than −4 [42]
−3.99star Epsilon Canis Majoris seen from Earthmaximum brightness of 4.7 million years ago, the historical brightest star of the last and next five million years. [43]
−3.69Moonlit by earthlight, reflecting earthshine seen from Earth (maximum) [31]
−2.98planet Venusseen from Earthminimum brightness during transits.
−2.94planet Jupiterseen from Earthmaximum brightness [41]
−2.94planet Marsseen from Earthmaximum brightness [41]
−2.5Faintest objects visible during the day with naked eye when Sun is less than 10° above the horizon
−2.50 new moon seen from Earthminimum brightness
−2.50planet Earthseen from Marsmaximum brightness
−2.48planet Mercuryseen from Earthmaximum brightness at superior conjunction (unlike Venus, Mercury is at its brightest when on the far side of the Sun, the reason being their different phase curves) [41]
−2.20planet Jupiterseen from Earthmean brightness [41]
−1.66planet Jupiterseen from Earthminimum brightness [41]
−1.47star system Siriusseen from EarthBrightest star except for the Sun at visible wavelengths [44]
−0.83star Eta Carinae seen from Earthapparent brightness as a supernova impostor in April 1843
−0.72star Canopus seen from Earth2nd brightest star in night sky [45]
−0.55planet Saturnseen from Earthmaximum brightness near opposition and perihelion when the rings are angled toward Earth [41]
−0.3 Halley's comet seen from EarthExpected apparent magnitude at 2061 passage
−0.27star system Alpha Centauri ABseen from EarthCombined magnitude (3rd brightest star in night sky)
−0.04star Arcturus seen from Earth4th brightest star to the naked eye [46]
−0.01star Alpha Centauri Aseen from Earth4th brightest individual star visible telescopically in the night sky
+0.03star Vega seen from Earthoriginally chosen as a definition of the zero point [47]
+0.23planet Mercuryseen from Earthmean brightness [41]
+0.46star Sunseen from Alpha Centauri
+0.46planet Saturnseen from Earthmean brightness [41]
+0.71planet Marsseen from Earthmean brightness [41]
+0.90Moonseen from Marsmaximum brightness
+1.17planet Saturnseen from Earthminimum brightness [41]
+1.33star Alpha Centauri Bseen from Earth
+1.86planet Marsseen from Earthminimum brightness [41]
+1.98star Polaris seen from Earthmean brightness [48]
+3.03supernova SN 1987A seen from Earthin the Large Magellanic Cloud (160,000 light-years away)
+3 to +4Faintest stars visible in an urban neighborhood with naked eye
+2star system T CrB(when nova)seen from EarthStar system that goes nova every 80 years
+2.4 Halley's Comet seen from EarthAbout Magnitude during 1986 perihelion
+3.44 Andromeda Galaxy seen from EarthM31 [49]
+4 Orion Nebula seen from EarthM42
+4.38moon Ganymede seen from Earthmaximum brightness [50] (moon of Jupiter and the largest moon in the Solar System)
+4.50open cluster M41 seen from Earthan open cluster that may have been seen by Aristotle [51]
+4.5 Sagittarius Dwarf Spheroidal Galaxy seen from Earth
+5.20asteroid Vesta seen from Earthmaximum brightness
+5.38 [52] planet Uranusseen from Earthmaximum brightness [41] (Uranus comes to perihelion in 2050)
+5.68planet Uranusseen from Earthmean brightness [41]
+5.72spiral galaxy M33 seen from Earthwhich is used as a test for naked eye seeing under dark skies [53] [54]
+5.8 gamma-ray burst GRB 080319B seen from EarthPeak visual magnitude (the "Clarke Event") seen on Earth on 19 March 2008 from a distance of 7.5 billion light-years.
+6.03planet Uranusseen from Earthminimum brightness [41]
+6.49asteroid Pallas seen from Earthmaximum brightness
+6.5Approximate limit of stars observed by a mean naked eye observer under very good conditions. There are about 9,500 stars visible to mag 6.5. [5]
+6.64dwarf planet Ceres seen from Earthmaximum brightness
+6.75asteroid Iris seen from Earthmaximum brightness
+6.90spiral galaxy M81 seen from EarthThis is an extreme naked-eye target that pushes human eyesight and the Bortle scale to the limit [55]
+7.25planet Mercuryseen from Earthminimum brightness [41]
+7.67 [56] planet Neptuneseen from Earthmaximum brightness [41] (Neptune comes to perihelion in 2042)
+7.78planet Neptuneseen from Earthmean brightness [41]
+8.00planet Neptuneseen from Earthminimum brightness [41]
+8Extreme naked-eye limit, Class 1 on Bortle scale, the darkest skies available on Earth. [57]
+8.10moon Titan seen from Earthmaximum brightness; largest moon of Saturn; [58] [59] mean opposition magnitude 8.4 [60]
+8.29star UY Scuti seen from EarthMaximum brightness; one of largest known stars by radius
+8.94asteroid 10 Hygiea seen from Earthmaximum brightness [61]
+9.50Faintest objects visible using common 7×50 binoculars under typical conditions [62]
+10 Apollo 8 CSM in orbit around the Moonseen from Earthcalculated (Liemohn) [63]
+10star system T CrB(average)seen from EarthStar system that goes nova every 80 years
+10.20moon Iapetus seen from Earthmaximum brightness, [59] brightest when west of Saturn and takes 40 days to switch sides
+11.05star Proxima Centauri seen from Earthclosest star (other than the Sun)
+11.8moon Phobos seen from EarthMaximum brightness; brighter moon of Mars
+12.23star R136a1 seen from EarthMost luminous and massive star known [64]
+12.89moon Deimos seen from EarthMaximum brightness
+12.91 quasar 3C 273 seen from Earthbrightest (luminosity distance of 2.4 billion light-years)
+13.42moon Triton seen from EarthMaximum brightness [60]
+13.65dwarf planet Pluto seen from Earthmaximum brightness, [65] 725 times fainter than magnitude 6.5 naked eye skies
+13.9moon Titania seen from EarthMaximum brightness; brightest moon of Uranus
+14.1star WR 102 seen from EarthHottest known star
+15.4 centaur Chiron seen from Earthmaximum brightness [66]
+15.55moon Charon seen from Earthmaximum brightness (the largest moon of Pluto)
+16.8dwarf planet Makemake seen from EarthCurrent opposition brightness [67]
+17.27dwarf planet Haumea seen from EarthCurrent opposition brightness [68]
+18.7dwarf planet Eris seen from EarthCurrent opposition brightness
+19.5Faintest objects observable with the Catalina Sky Survey 0.7-meter telescope using a 30-second exposure [69] and also the approximate limiting magnitude of Asteroid Terrestrial-impact Last Alert System (ATLAS)
+20.7moon Callirrhoe seen from Earth(small ≈8 km satellite of Jupiter) [60]
+22Faintest objects observable in visible light with a 600 mm (24″) Ritchey-Chrétien telescope with 30 minutes of stacked images (6 subframes at 5 minutes each) using a CCD detector [70]
+22.8 Luhman 16 seen from EarthClosest brown dwarfs (Luhman 16A=23.25, Luhman 16B=24.07) [71]
+22.91moon Hydra seen from Earthmaximum brightness of Pluto's moon
+23.38moon Nix seen from Earthmaximum brightness of Pluto's moon
+24Faintest objects observable with the Pan-STARRS 1.8-meter telescope using a 60-second exposure [72] This is currently the limiting magnitude of automated allsky astronomical surveys.
+25.0moon Fenrir seen from Earth(small ≈4 km satellite of Saturn) [73]
+25.3Trans-Neptunian object 2018 AG37 seen from EarthFurthest known observable object in the Solar System about 132 AU (19.7 billion km) from the Sun
+26.2Trans-Neptunian object 2015 TH367 seen from Earth200 km sized object about 90 AU (13 billion km) from the Sun and about 75 million times fainter than what can be seen with the naked eye.
+27.7Faintest objects observable with a single 8-meter class ground-based telescope such as the Subaru Telescope in a 10-hour image [74]
+28.2 Halley's Comet seen from Earth (2003)in 2003 when it was 28 AU (4.2 billion km) from the Sun, imaged using 3 of 4 synchronised individual scopes in the ESO's Very Large Telescope array using a total exposure time of about 9 hours [75]
+28.4asteroid 2003 BH91 seen from Earth orbitobserved magnitude of ≈15-kilometer Kuiper belt object seen by the Hubble Space Telescope (HST) in 2003, dimmest known directly observed asteroid.
+29.4 JADES-GS-z13-0 seen from EarthDiscovered by the James Webb Space Telescope. One of the furthest objects discovered. [76]
+31.5Faintest objects observable in visible light with Hubble Space Telescope via the EXtreme Deep Field with ≈23 days of exposure time collected over 10 years [77]
+34Faintest objects observable in visible light with James Webb Space Telescope [78]
+35unnamed asteroidseen from Earth orbitexpected magnitude of dimmest known asteroid, a 950-meter Kuiper belt object discovered (by the HST) passing in front of a star in 2009. [79]
+35star LBV 1806−20 seen from Eartha luminous blue variable star, expected magnitude at visible wavelengths due to interstellar extinction

See also

Related Research Articles

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In astronomy, surface brightness (SB) quantifies the apparent brightness or flux density per unit angular area of a spatially extended object such as a galaxy or nebula, or of the night sky background. An object's surface brightness depends on its surface luminosity density, i.e., its luminosity emitted per unit surface area. In visible and infrared astronomy, surface brightness is often quoted on a magnitude scale, in magnitudes per square arcsecond (MPSAS) in a particular filter band or photometric system.

<span class="mw-page-title-main">Magnitude (astronomy)</span> Logarithmic measure of the brightness of an astronomical object

In astronomy, magnitude is a measure of the brightness of an object, usually in a defined passband. An imprecise but systematic determination of the magnitude of objects was introduced in ancient times by Hipparchus.

<span class="mw-page-title-main">Beta Sextantis</span> Star in the constellation Sextans

Beta Sextantis, Latinized from β Sextantis, is a variable star in the equatorial constellation of Sextans. With an apparent visual magnitude of 5.07, it is faintly visible to the naked eye on a dark night. According to the Bortle scale, it can be viewed from brighter lit suburban skies. The distance to this star, based upon an annual parallax shift of 8.96 mas, is around 364 light years.

Photographic magnitude is a measure of the relative brightness of a star or other astronomical object as imaged on a photographic film emulsion with a camera attached to a telescope. An object's apparent photographic magnitude depends on its intrinsic luminosity, its distance and any extinction of light by interstellar matter existing along the line of sight to the observer.

<span class="mw-page-title-main">Psi Aquilae</span> Star in the constellation Aquila

Psi Aquilae, Latinized as ψ Aquilae, is the Bayer designation for a star in the equatorial constellation of Aquila. It is a faint star with an apparent visual magnitude of 6.25, which, according to the Bortle Dark-Sky Scale, can be seen with the naked eye in dark rural skies. The orbit of the Earth causes an annual parallax shift of 2.83 mas, which indicates a distance of approximately 1,150 light-years.

36 Andromedae is a visual binary star system in the northern constellation of Andromeda. The designation is from the star catalogue of English astronomer John Flamsteed, first published in 1712. It is faintly visible to the naked eye with an apparent visual magnitude of 5.45. An annual parallax shift of 26.33 mas yields a distance estimate of about 124 light years. The system is moving closer to the Sun with a radial velocity of −0.8 km/s.

In astronomy, the bolometric correction is the correction made to the absolute magnitude of an object in order to convert its visible magnitude to its bolometric magnitude. It is large for stars which radiate most of their energy outside of the visible range. A uniform scale for the correction has not yet been standardized.

<span class="mw-page-title-main">HD 153261</span> Star in the constellation Ara

HD 153261 is the Henry Draper Catalogue designation for a star in the southern constellation of Ara. It has an apparent visual magnitude of 6.137, placing it near the threshold of naked eye visibility. According to the Bortle Dark-Sky Scale, it can be viewed from dark suburban or rural skies. Based upon an annual parallax shift of just 2.32 mas, it is located at a distance of around 1,400 light-years from Earth.

Chi<sup>2</sup> Orionis Star in the constellation Orion

Chi2 Orionis is a B-type blue supergiant star in the constellation of Orion. It has an apparent visual magnitude of 4.63 but being quite distant, and heavily extinguished it burns with the greatest absolute visual light magnitude among stars in Orion within the near reaches of the galaxy, 0.9 of a magnitude brighter than Rigel. Since 1943, the spectrum of this star has served as one of the stable anchor points by which other stars are classified. It is considered to be a member of the Gemini OB1 association.

HD 21447 is a probable binary star system located in the constellation Camelopardalis. The star is also known as HR 1046. It can be viewed with the naked eye, having an apparent visual magnitude of 5.09. Based upon an annual parallax shift of 16.42±0.29 mas, it is located some 199 light years from the Sun. It is a candidate for membership in the Ursa Major Moving Group.

f Eridani Multiple star system in the constellation Eridanus

f Eridani is a binary, or possibly a triple, star system in the equatorial constellation of Eridanus, consisting of stars HD 24071 and HD 24072. They share a single Hipparcos catalogue entry, HIP 17797, but have separate Bright Star Catalogue listings, HR 1189 and 1190. f Eridani is the Bayer designation of the pair.

Pi Leonis, Latinised from π Leonis, is a single star in the zodiac constellation Leo. It is a red-hued star that is visible to the naked eye with an apparent visual magnitude of 4.70. This object is located at a distance of some 410 light-years from the Sun based on parallax, and is drifting further away with a radial velocity of +22 km/s. Because the star lies near the ecliptic it is subject to occultations by the Moon.

36 Serpentis is a binary star system in the equatorial constellation of Serpens. It has the Bayer designation b Serpentis, while 36 Serpentis is the Flamsteed designation. The system is visible to the naked eye as a dim, white-hued point of light with a combined apparent visual magnitude of 5.09. It is located 162 light years away from the Sun based on parallax, and is moving closer with a radial velocity of −8 km/s.

<span class="mw-page-title-main">HU Tauri</span> Binary star in the constellation Taurus

HU Tauri is a tight binary star system in the equatorial constellation of Taurus. It is an eclipsing binary, which means that the member stars periodically eclipse each other every 2.056 days. They have a combined apparent visual magnitude of 5.85, which is bright enough to be dimly visible to the naked eye. During the primary eclipse, the magnitude drops to 6.68, while the secondary eclipse decreases the magnitude to 5.91. The distance to this system, based on parallax measurements, is approximately 414 light years.

References

  1. Toomer, G. J. (1984). Ptolemy's Almagest. New York: Springer-Verlag. p. 16. ISBN   0-387-91220-7.
  2. Curtis, Heber Doust (1903) [1901-03-27]. "On the Limits of Unaided Vision". Lick Observatory Bulletin . 2 (38). University of California: 67–69. Bibcode:1903LicOB...2...67C. doi:10.5479/ADS/bib/1903LicOB.2.67C.
  3. Matthew, Templeton (21 October 2011). "Magnitudes: Measuring the Brightness of Stars". American Association of Variable Stars (AAVSO). Archived from the original on 18 May 2019. Retrieved 19 May 2019.
  4. Crumey, A. (October 2006). "Human Contrast Threshold and Astronomical Visibility". Monthly Notices of the Royal Astronomical Society. 442 (3): 2600–2619. arXiv: 1405.4209 . Bibcode:2014MNRAS.442.2600C. doi: 10.1093/mnras/stu992 .
  5. 1 2 "Vmag<6.5". SIMBAD Astronomical Database. Archived from the original on 22 February 2015. Retrieved 25 June 2010.
  6. "Magnitude". National Solar Observatory—Sacramento Peak. Archived from the original on 6 February 2008. Retrieved 23 August 2006.
  7. Bright Star Catalogue
  8. Hoffmann, S., Hipparchs Himmelsglobus, Springer, Wiesbaden/ New York, 2017
  9. Pogson, N. (1856). "Magnitudes of Thirty-six of the Minor Planets for the first day of each month of the year 1857". MNRAS . 17: 12. Bibcode:1856MNRAS..17...12P. doi: 10.1093/mnras/17.1.12 .
  10. Hearnshaw, John B. (1996). The measurement of starlight: two centuries of astronomical photometry (1. publ ed.). Cambridge: Cambridge Univ. Press. ISBN   978-0-521-40393-1.
  11. Pogson, N. (14 November 1856). "Magnitudes of Thirty-six of the Minor Planets for the First Day of each Month of the Year 1857". Monthly Notices of the Royal Astronomical Society. 17 (1): 12–15. Bibcode:1856MNRAS..17...12P. doi: 10.1093/mnras/17.1.12 . ISSN   0035-8711.
  12. Hearnshaw, J. B. (1996). The measurement of starlight: two centuries of astronomical photometry. Cambridge [England] ; New York, NY, USA: Cambridge University Press. ISBN   978-0-521-40393-1.
  13. Johnson, H. L.; Morgan, W. W. (May 1953). "Fundamental stellar photometry for standards of spectral type on the revised system of the Yerkes spectral atlas". The Astrophysical Journal. 117: 313. Bibcode:1953ApJ...117..313J. doi:10.1086/145697. ISSN   0004-637X.
  14. North, Gerald; James, Nick (2014). Observing Variable Stars, Novae and Supernovae. Cambridge University Press. p. 24. ISBN   978-1-107-63612-5.
  15. Oke, J. B.; Gunn, J. E. (15 March 1983). "Secondary standard stars for absolute spectrophotometry". The Astrophysical Journal. 266: 713–717. Bibcode:1983ApJ...266..713O. doi:10.1086/160817.
  16. 1 2 3 IAU Inter-Division A-G Working Group on Nominal Units for Stellar & Planetary Astronomy (13 August 2015). "IAU 2015 Resolution B2 on Recommended Zero Points for the Absolute and Apparent Bolometric Magnitude Scales" (PDF). Resolutions Adopted at the General Assemblies. arXiv: 1510.06262 . Bibcode:2015arXiv151006262M. Archived (PDF) from the original on 28 January 2016. Retrieved 19 May 2019.
  17. 1 2 Williams, David R. (2 February 2010). "Moon Fact Sheet". NASA (National Space Science Data Center). Archived from the original on 23 March 2010. Retrieved 9 April 2010.
  18. "Magnitude Arithmetic". Weekly Topic. Caglow. Archived from the original on 1 February 2012. Retrieved 30 January 2012.
  19. Evans, Aaron. "Some Useful Astronomical Definitions" (PDF). Stony Brook Astronomy Program. Archived (PDF) from the original on 20 July 2011. Retrieved 12 July 2009.
  20. Čotar, Klemen; Zwitter, Tomaž; et al. (21 May 2019). "The GALAH survey: unresolved triple Sun-like stars discovered by the Gaia mission". Monthly Notices of the Royal Astronomical Society. 487 (2). Oxford University Press (OUP): 2474–2490. arXiv: 1904.04841 . doi: 10.1093/mnras/stz1397 . ISSN   0035-8711.
  21. Bessell, Michael S. (September 2005). "Standard Photometric Systems" (PDF). Annual Review of Astronomy and Astrophysics. 43 (1): 293–336. Bibcode:2005ARA&A..43..293B. doi:10.1146/annurev.astro.41.082801.100251. ISSN   0066-4146. Archived (PDF) from the original on 9 October 2022.
  22. Luciuk, M. "Astronomical Magnitudes" (PDF). p. 8. Retrieved 11 January 2019.
  23. Huchra, John. "Astronomical Magnitude Systems". Harvard-Smithsonian Center for Astrophysics. Archived from the original on 21 July 2018. Retrieved 18 July 2017.
  24. Schulman, E.; Cox, C. V. (1997). "Misconceptions About Astronomical Magnitudes". American Journal of Physics. 65 (10): 1003. Bibcode:1997AmJPh..65.1003S. doi:10.1119/1.18714.
  25. "Magnitude | Brightness, Apparent Magnitude & Absolute Magnitude | Britannica". www.britannica.com. Retrieved 19 October 2023.
  26. "Introduction to active galaxies: View as single page". www.open.edu. Retrieved 19 October 2023.
  27. Pickering, Edward C. (1910). "1910HarCi.160....1P Page 1". Harvard College Observatory Circular. 160: 1. Bibcode:1910HarCi.160....1P . Retrieved 19 October 2023.
  28. Umeh, Obinna; Clarkson, Chris; Maartens, Roy (2014). "Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: II. Derivation". Classical and Quantum Gravity. 31 (20): 205001. arXiv: 1402.1933 . Bibcode:2014CQGra..31t5001U. doi:10.1088/0264-9381/31/20/205001. S2CID   54527784.
  29. Hogg, David W.; Baldry, Ivan K.; Blanton, Michael R.; Eisenstein, Daniel J. (2002). "The K correction". arXiv: astro-ph/0210394 .
  30. Wing, R. F. (1967). "1967lts..conf..205W Page 205". Late-Type Stars: 205. Bibcode:1967lts..conf..205W . Retrieved 19 October 2023.
  31. 1 2 Agrawal, Dulli Chandra (30 March 2016). "Apparent magnitude of earthshine: a simple calculation". European Journal of Physics. 37 (3). IOP Publishing: 035601. Bibcode:2016EJPh...37c5601A. doi:10.1088/0143-0807/37/3/035601. ISSN   0143-0807. S2CID   124231299.
  32. Polakis, Tom (10 September 1997). "Radiometry and photometry in astronomy". Home page of Paul Schlyter. Retrieved 25 April 2024.
  33. Dufay, Jean (17 October 2012). Introduction to Astrophysics: The Stars. Courier Corporation. p. 3. ISBN   978-0-486-60771-9. Archived from the original on 24 March 2017. Retrieved 28 February 2016.
  34. McLean, Ian S. (2008). Electronic Imaging in Astronomy: Detectors and Instrumentation. Springer. p. 529. ISBN   978-3-540-76582-0.
  35. Dolan, Michelle M.; Mathews, Grant J.; Lam, Doan Duc; Lan, Nguyen Quynh; Herczeg, Gregory J.; Dearborn, David S. P. (2017). "Evolutionary Tracks for Betelgeuse". The Astrophysical Journal. 819 (1): 7. arXiv: 1406.3143 . Bibcode:2016ApJ...819....7D. doi: 10.3847/0004-637X/819/1/7 . S2CID   37913442.
  36. "Brightest comets seen since 1935". International Comet Quarterly. Archived from the original on 28 December 2011. Retrieved 18 December 2011.
  37. Winkler, P. Frank; Gupta, Gaurav; Long, Knox S. (2003). "The SN 1006 Remnant: Optical Proper Motions, Deep Imaging, Distance, and Brightness at Maximum". The Astrophysical Journal . 585 (1): 324–335. arXiv: astro-ph/0208415 . Bibcode:2003ApJ...585..324W. doi:10.1086/345985. S2CID   1626564.
  38. Siegel, Ethan (6 September 2016). "Ten Ways 'Proxima b' Is Different From Earth". Forbes. Retrieved 19 February 2023.
  39. "Supernova 1054 – Creation of the Crab Nebula". SEDS. Archived from the original on 28 May 2014. Retrieved 29 July 2014.
  40. "Heavens-above.com". Heavens-above. Archived from the original on 5 July 2009. Retrieved 22 December 2007.
  41. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Mallama, A.; Hilton, J.L. (2018). "Computing Apparent Planetary Magnitudes for The Astronomical Almanac". Astronomy and Computing. 25: 10–24. arXiv: 1808.01973 . Bibcode:2018A&C....25...10M. doi:10.1016/j.ascom.2018.08.002. S2CID   69912809.
  42. NASA Science Question of the Week. Gsfc.nasa.gov (7 April 2006). Retrieved on 26 April 2013.
  43. Tomkin, Jocelyn (April 1998). "Once and Future Celestial Kings". Sky and Telescope. 95 (4): 59–63. Bibcode:1998S&T....95d..59T. – based on computations from HIPPARCOS data. (The calculations exclude stars whose distance or proper motion is uncertain.)
  44. "Sirius". SIMBAD Astronomical Database. Archived from the original on 11 January 2014. Retrieved 26 June 2010.
  45. "Canopus". SIMBAD Astronomical Database. Archived from the original on 14 July 2014. Retrieved 26 June 2010.
  46. "Arcturus". SIMBAD Astronomical Database. Archived from the original on 14 January 2014. Retrieved 26 June 2010.
  47. "Vega". SIMBAD Astronomical Database. Archived from the original on 7 July 2015. Retrieved 14 April 2010.
  48. Evans, N. R.; Schaefer, G. H.; Bond, H. E.; Bono, G.; Karovska, M.; Nelan, E.; Sasselov, D.; Mason, B. D. (2008). "Direct Detection of the Close Companion of Polaris with The Hubble Space Telescope". The Astronomical Journal. 136 (3): 1137. arXiv: 0806.4904 . Bibcode:2008AJ....136.1137E. doi:10.1088/0004-6256/136/3/1137. S2CID   16966094.
  49. "SIMBAD-M31". SIMBAD Astronomical Database. Archived from the original on 19 May 2014. Retrieved 29 November 2009.
  50. Yeomans; Chamberlin. "Horizon Online Ephemeris System for Ganymede (Major Body 503)". California Institute of Technology, Jet Propulsion Laboratory. Archived from the original on 2 February 2014. Retrieved 14 April 2010. (4.38 on 1951-Oct-03)
  51. "M41 possibly recorded by Aristotle". SEDS (Students for the Exploration and Development of Space). 28 July 2006. Archived from the original on 18 April 2017. Retrieved 29 November 2009.
  52. "Uranus Fact Sheet". nssdc.gsfc.nasa.gov. Archived from the original on 22 January 2019. Retrieved 8 November 2018.
  53. "SIMBAD-M33". SIMBAD Astronomical Database. Archived from the original on 13 September 2014. Retrieved 28 November 2009.
  54. Lodriguss, Jerry (1993). "M33 (Triangulum Galaxy)". Archived from the original on 15 January 2010. Retrieved 27 November 2009. (Shows bolometric magnitude not visual magnitude.)
  55. "Messier 81". SEDS (Students for the Exploration and Development of Space). 2 September 2007. Archived from the original on 14 July 2017. Retrieved 28 November 2009.
  56. "Neptune Fact Sheet". nssdc.gsfc.nasa.gov. Archived from the original on 10 January 2019. Retrieved 8 November 2018.
  57. John E. Bortle (February 2001). "The Bortle Dark-Sky Scale". Sky & Telescope. Archived from the original on 23 March 2009. Retrieved 18 November 2009.
  58. Yeomans; Chamberlin. "Horizon Online Ephemeris System for Titan (Major Body 606)". California Institute of Technology, Jet Propulsion Laboratory. Archived from the original on 13 November 2012. Retrieved 28 June 2010. (8.10 on 2003-Dec-30) Archived 13 November 2012 at the Wayback Machine
  59. 1 2 "Classic Satellites of the Solar System". Observatorio ARVAL. Archived from the original on 31 July 2010. Retrieved 25 June 2010.
  60. 1 2 3 "Planetary Satellite Physical Parameters". JPL (Solar System Dynamics). 3 April 2009. Archived from the original on 23 July 2009. Retrieved 25 July 2009.
  61. "AstDys (10) Hygiea Ephemerides". Department of Mathematics, University of Pisa, Italy. Archived from the original on 12 May 2014. Retrieved 26 June 2010.
  62. Zarenski, Ed (2004). "Limiting Magnitude in Binoculars" (PDF). Cloudy Nights. Archived (PDF) from the original on 21 July 2011. Retrieved 6 May 2011.
  63. "Tracking the Apollo Flights". Static Web Pages for Physics and Astronomy. 21 December 1968. Retrieved 20 March 2024.
  64. "What Is the Most Massive Star?". Space.com. Archived from the original on 11 January 2019. Retrieved 5 November 2018.
  65. Williams, David R. (7 September 2006). "Pluto Fact Sheet". National Space Science Data Center. NASA. Archived from the original on 1 July 2010. Retrieved 26 June 2010.
  66. "AstDys (2060) Chiron Ephemerides". Department of Mathematics, University of Pisa, Italy. Archived from the original on 29 June 2011. Retrieved 26 June 2010.
  67. "AstDys (136472) Makemake Ephemerides". Department of Mathematics, University of Pisa, Italy. Archived from the original on 29 June 2011. Retrieved 26 June 2010.
  68. "AstDys (136108) Haumea Ephemerides". Department of Mathematics, University of Pisa, Italy. Archived from the original on 29 June 2011. Retrieved 26 June 2010.
  69. "Catalina Sky Survey (CSS) Facilities". Archived from the original on 3 November 2019. Retrieved 3 November 2019.
  70. Steve Cullen (sgcullen) (5 October 2009). "17 New Asteroids Found by LightBuckets". LightBuckets. Archived from the original on 31 January 2010. Retrieved 15 November 2009.
  71. Boffin, H.M.J.; Pourbaix, D. (2014). "Possible astrometric discovery of a substellar companion to the closest binary brown dwarf system WISE J104915.57–531906.1". Astronomy and Astrophysics. 561: 5. arXiv: 1312.1303 . Bibcode:2014A&A...561L...4B. doi:10.1051/0004-6361/201322975. S2CID   33043358.
  72. "Pan-STARRS limiting magnitude". Archived from the original on 24 November 2020. Retrieved 12 August 2019.
  73. Sheppard, Scott S. "Saturn's Known Satellites". Carnegie Institution (Department of Terrestrial Magnetism). Archived from the original on 15 May 2011. Retrieved 28 June 2010.
  74. What is the faintest object imaged by ground-based telescopes? Archived 2 February 2016 at the Wayback Machine , by: The Editors of Sky Telescope, 24 July 2006
  75. "New Image of Comet Halley in the Cold". ESO. 1 September 2003. Archived from the original on 1 March 2009. Retrieved 22 February 2009.
  76. Robertson, B. E.; et al. (2023). "Identification and properties of intense star-forming galaxies at redshifts z > 10". Nature Astronomy. 7 (5): 611–621. arXiv: 2212.04480 . Bibcode:2023NatAs...7..611R. doi:10.1038/s41550-023-01921-1. S2CID   257968812.
  77. Illingworth, G. D.; Magee, D.; Oesch, P. A.; Bouwens, R. J.; Labbé, I.; Stiavelli, M.; van Dokkum, P. G.; Franx, M.; Trenti, M.; Carollo, C. M.; Gonzalez, V. (21 October 2013). "The HST eXtreme Deep Field XDF: Combining all ACS and WFC3/IR Data on the HUDF Region into the Deepest Field Ever". The Astrophysical Journal Supplement Series. 209 (1): 6. arXiv: 1305.1931 . Bibcode:2013ApJS..209....6I. doi:10.1088/0067-0049/209/1/6. S2CID   55052332.
  78. "Telescopes". www.jaymaron.com. Archived from the original on 1 August 2017. Retrieved 14 September 2017. (retrieved 14 September 2017)
  79. "Hubble Finds Smallest Kuiper Belt Object Ever Seen". NASA . Archived from the original on 9 June 2017. Retrieved 16 March 2018.